{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Geometry via SDF\n",
    "\n",
    "[![Google Collab Book](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/tum-pbs/PhiFlow/blob/develop/docs/SDF.ipynb)\n",
    "\n",
    "This notebook introduces signed distance fields in Φ<sub>Flow</sub>."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# %pip install phiflow\n",
    "from phi.flow import *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## SDF From Existing Geometry\n",
    "\n",
    "Signed distance fields can easily be created from existing geometry.\n",
    "The next cell creates a SDF from a pair of spheres."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 864x360 with 3 Axes>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 864x360 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "spheres = Sphere(vec(x=[1, 2], y=1), radius=.8)\n",
    "bounds = Box(x=3, y=2)\n",
    "sdf = geom.sdf_from_geometry(spheres, bounds, x=10, y=10)\n",
    "plot({\"SDF\": sdf.values, \"Surface\": [spheres, sdf]}, overlay='list')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Custom SDF Construction\n",
    "\n",
    "Next, let's construct a SDF from a 2D NumPy array."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\ProgramData\\Anaconda3\\envs\\phiflow2\\lib\\site-packages\\phiml\\backend\\_backend.py:1632: RuntimeWarning: invalid value encountered in power\n",
      "  return base ** exp\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 864x360 with 3 Axes>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 864x360 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "bounds = Box(x=(-10, 10), y=(-10, 10))\n",
    "grid_x, grid_y = np.meshgrid(np.linspace(-10, 10, 100), np.linspace(-10, 10, 100))\n",
    "sdf_np = np.sqrt(grid_x**2 + grid_y**2) - 5\n",
    "sdf_tensor = tensor(sdf_np, spatial('x,y'))\n",
    "sdf = geom.SDFGrid(sdf_tensor, bounds)\n",
    "plot(sdf_tensor, sdf)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sampling\n",
    "\n",
    "SDFs behave like any other geomoetry.\n",
    "They can be resampled to grids and other fields."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 864x360 with 4 Axes>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 864x360 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "to_grid = CenteredGrid(sdf, 0, bounds, x=40, y=40)\n",
    "soft = resample(sdf, to_grid, soft=True)\n",
    "plot(to_grid, soft)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\u001b[94mTrue\u001b[0m"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sdf.lies_inside(vec(x=0, y=0))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Querying the Surface\n",
    "\n",
    "SDFs support querying the closest surface point and normal vector."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\ProgramData\\Anaconda3\\envs\\phiflow2\\lib\\site-packages\\phiml\\backend\\_backend.py:1632: RuntimeWarning: invalid value encountered in power\n",
      "  return base ** exp\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "loc = geom.UniformGrid(sdf.resolution.with_sizes(10), sdf.bounds).center\n",
    "sgn_dist, delta, normal, *_ = sdf.approximate_closest_surface(loc)\n",
    "plot(PointCloud(loc, delta))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "phiflow2",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
